Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth

摘要

This paper is concerned with a fourth-order parabolic equation which models epitaxial growth of nanoscale thin films. Based on the regularity estimates for semigroups and the classical existence theorem of global attractors, we prove that the fourth, order parabolic equation possesses a global attractor in a subspace of H~2, which attracts all the bounded sets of H~2 in the H~2-norm.